Given numbers are 786,720,343,214

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 786,720,343,214 is 3461638320.

Find LCM of 786,720,343,214 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 131 x 120 x 343 x 107 = 3461638320

Therefore, the lowest common multiple of 786,720,343,214 is 3461638320.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

786 x 720 x 343 x 214 = 41539659840

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

786 : 1, 2, 3, 6, 131, 262, 393, 786

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

343 : 1, 7, 49, 343

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,720,343,214, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

720:2x 2x 2x 2x 3x 3x 5

343:7x 7x 7

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 41539659840/(1x12)

LCM = 41539659840/12

LCM = 3461638320

Thus, we can understand that the LCM of 786,720,343,214 is 3461638320.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 418, 523, 219, 508
• LCM of 548, 530, 365, 601
• LCM of 180, 323, 396, 253
• LCM of 268, 105, 320, 122
• LCM of 183, 829, 650, 392

1. What is the LCM of 786, 720, 343, 214?

Answer: LCM of 786, 720, 343, 214 is 3461638320.

2. How to calculate the LCM of 786, 720, 343, 214?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 786, 720, 343, 214.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.